We present a non-commutative algorithm for the multiplication of a 2x2-block-matrix by its transpose using 5 block products (3 recursive calls and 2 general products) over C or any finite field.We use geometric considerations on the space of bilinear forms describing 2x2 matrix products to obtain this algorithm and we show how to reduce the number ...
The modelling of complex steel structures under static loading using rigid perfectly plastic material is presented within the framework of second-order cone programming (SOCP). The classic upper and lower bound principles of yield analysis, naturally written as optimization problems, are formulated as a pair of dual second-order cone programs which...
Railway stations that concentrate starts and ends of train journeys structure most of the passenger lines operations. Indeed, rolling stock preparation operations (cleaning, trains coupling...) which are called shunting are scheduled there. These operations are essential to ensure service quality. These operations require train movement and parking...
This contribution is addressing the ultimate limit state design of massive three-dimensional reinforced concrete structures based on the finite element implementation of both the upper and lower bound methods of yield design. The strength properties of plain concrete are modelled by means of a tension cutoff Mohr Coulomb condition, while the contri...
International audience
ACODS 2020, 6th Conference on Advances in Control and Optimization of Dynamical Systems, Chennai, INDE, 16-/02/2020 - 19/02/2020
This work is the product of a three-year collaboration between Laboratoire Navier and the civil engineering ?rm Strains. It has been shaped by following the needs of the construction industry for a more reliable, e°cient, robust and easy-to-use structural analysis software. Departing from traditional numerical methods used in non-linear ?nite-eleme...
Le Budget Programme par Objectifs (BPO) fait partie des instruments promus par les institutions d'aide pour mettre en oeuvre leurs engagements d'harmonisation des procédures entre États et bailleurs de fonds. Il doit assurer prévisibilité et transparence dans les budgets nationaux et permettre d'y intégrer l'aide budgétaire. Analysant le BPO "eau p...
We investigate the use of a second-order cone programming (SOCP) framework for computing complex 3D steel assemblies in the context of elastoplasticity and limit analysis. Displacement and stress-based variational formulations are considered and appropriate finite-element discretization strategies are chosen, yielding respectively an upper and lowe...
